Four hours ago, a grocer started his day with some pomegranates and oranges in the ratio of 8 : 7. There were 168 oranges. Some of the pomegranates were bought by Risa. As a result, the number of pomegranates became
34 of the oranges.
- How many pomegranates did the grocer have at first?
- How many oranges did the grocer have to sell in order to have an equal number of pomegranates and oranges?
|
Pomegranates |
Oranges |
Before |
8x4 = 32 u |
7x4 = 28 u |
Change |
- ? |
|
After |
3x7 = 21 u |
4x7 = 28 u |
(a)
The number of oranges remains unchanged. Make the number of oranges the same. LCM of 7 and 4 is 28.
28 u = 168
1 u = 168 ÷ 28 = 6
Number of pomegranates that the grocer had at first
= 32 u
= 32 x 6
= 192
(b)
Number of oranges that the grocer had to sell to have an equal number of pomegranates and oranges
= 28 u - 21 u
= 7 u
= 7 x 6
= 42
Answer(s): (a) 192; (b) 42